Math, asked by Adityakumarrajput, 1 year ago

ABCD is a parallelogram in which diagonal intersect each other at right angles if the length of the diagonal is 6 cm and 8 cm find the length of side of the parallelogram

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Answered by shamboc04
8
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Answered by IshitaJaiswal
11

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•Here is your answer....,



•ABCD is a parallelogram whose diagonals intersect each other at O with 90°.
so it's a rhombus as diagonals of rhombus interest each other at right angles.






•diagonal1 (AC) = 6cm



•diagonal 2(BD) = 8cm






•OD = OB = 3cm each
•OA = OC = 4cm each




•Let, us take triangle AOB
it is a right angled triangle

=> (OA)² + (OB)² = (AB)²

=> (4)² + (3)² = (AB)²

=> 16 + 9 = (AB)²

=> 25 = (AB)²

=> = AB

=> 5 = AB






•So, AB = 5cm
AB = BC = CD = AD (all sides of rhombus are equal)






•Each side of the parallelogram ABCD is 5cm.






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